Efficient finite element analysis of models comprised of higher order triangular elements

被引:0
|
作者
A. Kaveh
M. J. Tolou Kian
机构
[1] Iran University of Science and Technology,Centre of Excellence for Fundamental Studies in Structural Engineering
[2] Building and Housing Research Center,undefined
来源
Acta Mechanica | 2013年 / 224卷
关键词
Triangular Element; Null Vector; Force Method; Force System; Minimal Cycle;
D O I
暂无
中图分类号
学科分类号
摘要
This paper introduces an efficient method for the finite element analysis of models comprised of higher order triangular elements. The presented method is based on the force method and benefits graph theoretical transformations. For this purpose, minimal subgraphs of predefined special patterns are selected. Self-equilibrating systems are then constructed on these subgraphs leading to sparse and banded null basis. Finally, well-structured flexibility matrices are formed for efficient finite element analysis.
引用
收藏
页码:1957 / 1975
页数:18
相关论文
共 50 条
  • [31] Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
    M. J. S. Chin-Joe-Kong
    W. A. Mulder
    M. Van Veldhuizen
    Journal of Engineering Mathematics, 1999, 35 : 405 - 426
  • [32] 2D Higher order triangular mesh generation in irregular domain for finite element analysis using MATLAB
    Devi, Supriya
    Nagaraja, K. V.
    Jayan, Sarada
    Smitha, T. V.
    INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS AND MANUFACTURING APPLICATIONS (ICONAMMA-2018), 2019, 577
  • [33] FULLY COMPUTABLE BOUNDS FOR THE ERROR IN NONCONFORMING FINITE ELEMENT APPROXIMATIONS OF ARBITRARY ORDER ON TRIANGULAR ELEMENTS
    Ainsworth, Mark
    Rankin, Richard
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 46 (06) : 3207 - 3232
  • [34] Higher-order finite element analysis of finite-by-infinite arrays
    Lou, Z
    Jin, JM
    IEEE ANTENNAS AND PROPAGATION SOCIETY SYMPOSIUM, VOLS 1-4 2004, DIGEST, 2004, : 3505 - 3508
  • [35] Efficient implementation of energy conservation for higher order finite elements with variational integrators
    Bartelt, M.
    Dietzsch, J.
    Gross, M.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 150 : 83 - 121
  • [36] A triangular finite element using Laplace transform for viscoelastic laminated composite plates based on efficient higher-order zigzag theory
    Sy-Ngoc Nguyen
    Lee, Jaehun
    Cho, Maenghyo
    COMPOSITE STRUCTURES, 2016, 155 : 223 - 244
  • [37] Mixed-order tangential vector finite elements for triangular elements
    Andersen, LS
    Volakis, JL
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1998, 40 (01) : 104 - 108
  • [38] Optimal Subparametric Finite Elements for Elliptic Partial Differential Equations Using Higher-Order Curved Triangular Elements
    Nagaraja, K. V.
    Naidu, V. Kesavulu
    Siddheshwar, P. G.
    INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2014, 15 (02): : 83 - 100
  • [39] Mesh objective characteristic element length for higher-order finite beam elements
    Shen, J.
    Arruda, M. R. T.
    Pagani, A.
    Petrolo, M.
    ADVANCES IN ENGINEERING SOFTWARE, 2024, 195
  • [40] Preconditioning higher order finite element systems by algebraic multigrid method of linear elements
    Yun-qing Huang
    Shi Shu
    Xi-jun Yu
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 24 (05) : 657 - 664